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Finding the Fourth Proportional to 844.80, 1,165.56 and 584.16

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Solution

The fourth proportional to 844.80, 1,165.56 and 584.16 is: 805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.80 : 1,165.56 = 584.16 : x
  2. Step 2: Convert to fraction form
    844.80/1,165.56 = 584.16/x
  3. Step 3: Cross multiply
    844.80x = 1,165.56 × 584.16
  4. Step 4: Simplify right side
    844.80x = 680,873.53
  5. Step 5: Solve for x
    x = 680,873.53/844.80
  6. Step 6: Final answer
    x = 805.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.